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A Fidelity-embedded Regularization Method for Robust Electrical Impedance Tomography

机译:一种用于鲁棒电气系统的保真度嵌入正则化方法   阻抗层析成像

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摘要

Electrical impedance tomography (EIT) provides functional images of anelectrical conductivity distribution inside the human body. Since the 1980s,many potential clinical applications have arisen using inexpensive portable EITdevices. EIT acquires multiple trans-impedance measurements across the bodyfrom an array of surface electrodes around a chosen imaging slice. Theconductivity image reconstruction from the measured data is a fundamentallyill-posed inverse problem notoriously vulnerable to measurement noise andartifacts. Most available methods invert the ill-conditioned sensitivity orJacobian matrix using a regularized least-squares data-fitting technique. Theirperformances rely on the regularization parameter, which controls the trade-offbetween fidelity and robustness. For clinical applications of EIT, it would bedesirable to develop a method achieving consistent performance over variousuncertain data, regardless of the choice of the regularization parameter. Basedon the analysis of the structure of the Jacobian matrix, we propose afidelity-embedded regularization (FER) method and a motion artifact removalfilter. Incorporating the Jacobian matrix in the regularization process, thenew FER method with the motion artifact removal filter offers stablereconstructions of high-fidelity images from noisy data by taking a very largeregularization parameter value. The proposed method showed practical merits inexperimental studies of chest EIT imaging.
机译:电阻抗断层扫描(EIT)提供人体内部电导率分布的功能图像。自1980年代以来,使用廉价的便携式EIT设备已经出现了许多潜在的临床应用。 EIT从所选成像切片周围的一系列表面电极获取整个人体的多个跨阻测量值。根据测量数据重建电导率图像是一个根本上存在的逆问题,众所周知它很容易受到测量噪声和伪像的影响。大多数可用的方法都是使用正则化最小二乘数据拟合技术将病态敏感度或雅可比矩阵求逆。它们的性能取决于正则化参数,该参数控制保真度和鲁棒性之间的权衡。对于EIT的临床应用,希望开发一种在各种不确定数据上都能实现一致性能的方法,而不必考虑正则化参数的选择。在对雅可比矩阵的结构进行分析的基础上,我们提出了保真度嵌入正则化(FER)方法和运动伪影去除滤波器。通过将雅可比矩阵纳入正则化过程中,具有运动伪影去除滤波器的新FER方法通过采用非常大的正则化参数值,可以从噪声数据中稳定地重建高保真图像。所提出的方法在胸部EIT成像的实验研究中显示出实际的优点。

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